Is 3/3 actually 1?

Because she I add 33.3333%+33.3333%+33.3333%. You get 99.9999%.

Question

Is 3/3 actually 1?

Because she I add 33.3333%+33.3333%+33.3333%. You get 99.9999%.

jjuden · Answer

3/3 is 1 cause its a fraction

geerky42 · Answer

1/3 is NOT 33.3333%

It is 33.3333333333333333333333333.... and so on forever

anonymous · Answer

Well, $$\frac{ 1 }{ 3 }$$ is a repeating decimal. So 33.3333% is an approximation.

anonymous · Answer

Ya but wouldn't the sum be 99.9999999repeating and never reach 100?

anonymous · Answer

You raised a good point though since computer systems have to store repeating decimals as approximations in the form of a mantissa floating point, as per IEEE 754.

anonymous · Answer

Ok cool, thanks.

geerky42 · Answer

There is argument that $99.9999999999999999999999...\% = 100\%$

Or at least more commonly, $0.999999999999... = 1$

geerky42 · Answer

Well technically it IS 100%.

Because otherwise THERE will be exists another value between 99.9999...% and 100%.
What is this value? Not that I know of.

anonymous · Answer

Ok cool thanks. :)

geerky42 · Answer

No problem.

freckles · Answer

$$x=.999999999999999999.... \10x=9.99999999999999999999999........... \ 10x-x=9 \ 9x=9 \ x=1$$